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Finding the Fourth Proportional to 2,522.96, 3,784.44 and 962.60

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Solution

The fourth proportional to 2,522.96, 3,784.44 and 962.60 is: 1,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.96 : 3,784.44 = 962.60 : x
  2. Step 2: Convert to fraction form
    2,522.96/3,784.44 = 962.60/x
  3. Step 3: Cross multiply
    2,522.96x = 3,784.44 × 962.60
  4. Step 4: Simplify right side
    2,522.96x = 3,642,901.94
  5. Step 5: Solve for x
    x = 3,642,901.94/2,522.96
  6. Step 6: Final answer
    x = 1,443.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.